SOLUTION: Solve by the substitution method. x + y = 2 x + y = -9

Question 243720: Solve by the substitution method.
x + y = 2
x + y = -9
Found 2 solutions by jim_thompson5910, checkley77:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given system of equations:

Start with the first equation.

Subtract from both sides.

Rearrange the terms and simplify.

-------------------------------------------

Move onto the second equation.

Now plug in .

Combine like terms on the left side.

Subtract from both sides.

Combine like terms on the right side.

Simplify.

Since this equation is NEVER true for any x value, this means that there are no solutions.

So the system is inconsistent.

Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
(x=y) CANNOT = (2 & 9) in the same set of 2 equations.
x + y = 2 or x=2-y
x + y = -9 replace x with (2-y)
2-y+y=-9
2+0=-9
2=9 invalid set of equations.
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